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提高计算精度和运算效率是所有波场正演方法所追求的目标,本文通过将速度 (应力)对时间的奇数阶高阶寻数转化为应力(速度)对空间的导数,运用时间和空间差分精度 均可达任意阶的高阶差分法,通过交错网格技术,对一阶速度-应力弹性波方程进行了数值求 解.波场快照以及实际模型的正演结果表明,这种求解一阶弹性波方程的高阶差分解法,和 常规的差分法相比网格频散显著减小,精度明显提高,而且可以取较大的空间步长,提高计算 效率。
To improve the accuracy and efficiency of the wavefields is the goal pursued by all wavefield forward modeling methods. In this paper, we transform the odd-order high order of velocity (stress) to the derivative of stress (velocity) into space, and use the difference of time and space The high-order difference method can achieve arbitrary orders of precision. By using the staggered-grid technique, the first-order velocity-stress elastic wave equation is numerically solved. The snapshots of the wavefield and the forward modeling of the actual model show that this high-order difference method for solving the first-order elastic wave equation reduces the grid dispersion significantly compared to the conventional difference method, and the accuracy is significantly improved, and the larger Space steps to improve computational efficiency.